Root numbers and ranks in positive characteristic

For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T))) <= rank(E_t(K)) for all but finitely many t in P^1(K). If this inequality is strict for all but finitely many t, the elliptic curve E_eta is said to have elevated rank. All known examples of elevated rank for K=Q rest on the parity conjecture for elliptic curves over Q, and the examples are all isotrivial. Some additional standard conjectures over Q imply that there does not exist a non-isotrivial elliptic curve over Q(T) with elevated rank. In positive characteristic, an analogue of one of these additional conjectures is false. Inspired by this, for the rational function field K = kappa(u) over any finite field kappa with odd characteristic, we construct an explicit 2-parameter family E_{c,d} of non-isotrivial elliptic curves over K(T) (depending on arbitrary c, d in kappa^*) such that, under the parity conjecture, each E_{c,d} has elevated rank.Comment: 40 pages; last version; to appear in Adv. Mat

Studies on the teaching of German as a foreign language in Maltese schools : a survey

The scope of this article is to present a short Forschungsbericht or research report on some of the contributions towards the improvement of the teaching of German in Maltese schools made by students in their dissertations as part of their B.Educ. (Hons.) course. Due to the prevailing conditions, little or no research in this field was published in other form. The available studies can however reflect to some extent the work which is being done and might help to identify areas which require further investigation, especially in view of ongoing changes and the challenges accompanying them.peer-reviewe

Dorholt: An Original Fairy Tale as a Study in Creative Fantasy

This thesis presents a study in creative fantasy by detailing plans for an original novel with the purpose of entertaining, instructing, and encouraging young readers. The novel will fall under the genre of fairy tale and will be set in a fantasy world, but will exhibit realism in the personalities of its characters. The story will appeal to middle school and junior high readers through its presentation of the first person perspective of a young girl grappling with issues relating to family, friendship, and forgiveness. This thesis will include the rationale for the project as well as chapter synopses and one complete sample chapter

A historical outline of school architecture in Malta

Although the history of education in Malta is well documented, the architectural history of local educational facilities is still as yet uncharted territory. The available literature on the architecture of schools in The Maltese islands and their underlying design philosophy is almost non-existent. A tentative outline can only be sketched on the basis of the substantial corpus of surviving drawings, various ad hoc reports ar.d for the international style modern schools, built in the 1950's and 60's, by direct verbal communications with their architects. This paper will present a concise historical exposition on school architecture in Malta and Gozo.peer-reviewe

A Year Without a Winter Edited by Dehlia Hannah

Book Review of editor Dehliah Hannah\u27s A Year Without a Winte

CTA in the Context of Searches for Particle Dark Matter - a glimpse

In this contribution, CTAs potential role in detection of particle dark matter in the context of other detection approaches is briefly discussed for an audience of gamma-ray astronomers. In particular searches for new particles at the large hadron collider and detection of dark matter particles in deep underground detectors are considered. We will focus on Weakly Interacting Massive Particles (WIMP). Approaches will be compared in terms of (a) robustness of sensitivity predictions, (b) timeline and (c) reach. The estimate of the reach will be model-dependent. Given our ignorance about the nature of dark matter, and the complementarity of detection techniques even within a given framework (e.g. Supersymmetry), the trivial conclusion is that we might need all approaches and the most sensitive experiments. Our discussion will be somewhat more restrictive in order to be able to be more concrete. With the caveat of incompleteness, under the assumption that the WIMP paradigm describes nature, CTA is more likely to discover multi-TeV WIMP dark matter, whereas for lower masses direct detection and LHC has significantly better prospects. We will illustrate this conclusion with examples from foremost Supersymmetry, but mention effective field theory or simplified models. We will comment on a few models predicting high mass WIMPs, in particular 1 TeV higgsino and wino WIMPs, as well as Minimal Dark Matter and point out the relevance of updated measurements of the anomalous magnetic moment of the muon for CTAs role in searches for Supersymmetry.Comment: Invited contribution to 6th International Symposium on High-Energy Gamma-ray Astronomy (Gamma2016). 9 pages, 5 figure

On Evolution of God-Seeking Mind: An Inquiry Into Why Natural Selection Would Favor Imagination and Distortion of Sensory Experience

The earliest known products of human imagination appear to express a primordial concern and struggle with thoughts of dying and of death and mortality. I argue that the structures and processes of imagination evolved in that struggle, in response to debilitating anxieties and fearful states that would accompany an incipient awareness of mortality. Imagination evolved to find that which would make the nascent apprehension of death more bearable, to engage in a search for alternative perceptions of death: a search that was beyond the capability of the external senses. I argue that imagination evolved as flight and fight adaptations in response to debilitating fears that paralleled an emerging foreknowledge of death. Imagination, and symbolic language to express its perceptions, would eventually lead to religious behavior and the development of cultural supports. Although highly speculative, my argument draws on recent brain studies, and on anthropology, psychology, and linguistics